CN110082136A - Rotary machinery fault diagnosis method based on Retrieval method Support Vector Machines Optimized - Google Patents
Rotary machinery fault diagnosis method based on Retrieval method Support Vector Machines Optimized Download PDFInfo
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Abstract
本发明公开了一种基于云遗传算法优化支持向量机的旋转机械故障诊断方法,首先在在旋转机械的各个故障状态下从不同传感器提取工作信号,分别进行时频特征提取并约简,得到各个工作信号的特征向量,基于这些特征向量获取每个故障状态的训练样本,分为训练样本集A和训练样本集B,先将训练样本集A作为训练样本,采用云遗传算法对基于支持向量机网络的多分类模型的核函数和惩罚因子进行参数预优化处理,然后再采用训练样本集B进行再次优化从而得到多分类模型,当旋转机械发生故障时从各个传感器提取出特征向量,输入多分类模型得到诊断结果。本发明可以有效提高旋转机械故障诊断的准确度和效率。
The invention discloses a rotating machinery fault diagnosis method based on cloud genetic algorithm optimization support vector machine. Firstly, in each fault state of the rotating machinery, working signals are extracted from different sensors, and time-frequency feature extraction and reduction are respectively performed to obtain each The eigenvectors of the working signals are obtained based on these eigenvectors to obtain training samples for each fault state, which are divided into training sample set A and training sample set B. First, the training sample set A is used as the training sample, and cloud genetic algorithm is used to The kernel function and penalty factor of the multi-classification model of the network are pre-optimized for parameters, and then the training sample set B is used to optimize again to obtain a multi-classification model. When the rotating machinery fails, the feature vector is extracted from each sensor and input into the multi-classification model. The model gets a diagnosis. The invention can effectively improve the accuracy and efficiency of fault diagnosis of rotating machinery.
Description
技术领域technical field
本发明属于工程机械系统故障诊断技术领域,更为具体地讲,涉及一种基于云遗传算法优化支持向量机的旋转机械故障诊断方法。The invention belongs to the technical field of fault diagnosis of construction machinery systems, and more specifically relates to a method for fault diagnosis of rotating machinery based on cloud genetic algorithm optimization support vector machine.
背景技术Background technique
随着工业的现代化和科学技术的飞速发展,旋转机械设备作为工业中使用最广泛的设备之一,被越来越多地应用于电力、石油化工、航空以及多种军工产业等领域。旋转机械设备不断朝着高速化、系统化和自动化等方向发展,其生产系统的规模逐渐增大,机械结构也越来越复杂,每一种设备相互之间相互关联、紧密耦合,工作性能指标越来越高。在旋转机械设备工作运行中,伴随着很多不确定因素,一些设备不可避免的会产生一些故障,一旦某一设备的关键部件产生故障则会发生一系列的连锁反应,严重的还会造成整条生产线的停产,进而造成巨大的经济损失甚至人员伤亡。旋转机械设备的安全性,可维护性和可靠性已成为时下研究的热点,建立和完善故障诊断技术领域不仅能够保障旋转机械设备的安全运行,同时对提高经济收益、减少维修成本以及确保人员安全具有积极的意义。With the modernization of industry and the rapid development of science and technology, rotating machinery equipment, as one of the most widely used equipment in the industry, is increasingly used in the fields of electric power, petrochemical industry, aviation and various military industries. Rotating machinery equipment is constantly developing towards high speed, systematization and automation. The scale of its production system is gradually increasing, and the mechanical structure is becoming more and more complex. Each kind of equipment is interrelated and closely coupled with each other. Higher and higher. In the operation of rotating mechanical equipment, accompanied by many uncertain factors, some equipment will inevitably have some failures. Once a key component of a certain equipment fails, a series of chain reactions will occur, and serious ones will cause the entire equipment to fail. The shutdown of the production line will cause huge economic losses and even casualties. The safety, maintainability and reliability of rotating machinery and equipment have become the focus of current research. Establishing and improving the field of fault diagnosis technology can not only ensure the safe operation of rotating machinery and equipment, but also improve economic benefits, reduce maintenance costs and ensure personnel safety. has a positive meaning.
传统的故障诊断技术对复杂的旋转机械结构诊断已不太适用,并且对操作人员的要求较高。随着人工智能的发展,智能故障诊断技术迅速发展起来,主要有三大类方法:(1)基于模型的故障诊断、(2)基于信号处理的故障诊断以及(3)基于知识的故障诊断。其中基于模型的故障诊断需要设计参数以及工作状态的评估以精确系统模型,对于复杂的旋转机械设备,该诊断方法是不经济的;基于信号处理的故障诊断需要对系统采集信号进行分析处理,相对于基于模型的故障诊断更加经济且具有一定的可靠性,但是在某些特定环境下,存在一些不确定信息会对故障信息产生一定的影响,由此特征提取问题以及故障判断有待进一步解决;基于知识的故障诊断以来历史的故障知识,不完全能够像人类专家一样具有较高的可靠性。同时,在当今大数据时代下,在工程实际应用中,现有的智能故障诊断技术存在速度有待提高、准确率较低以及无法实现高精度的分类等问题,需要研究解决。The traditional fault diagnosis technology is not suitable for the diagnosis of complex rotating machinery structure, and has high requirements for operators. With the development of artificial intelligence, intelligent fault diagnosis technology has developed rapidly. There are three main types of methods: (1) model-based fault diagnosis, (2) signal processing-based fault diagnosis and (3) knowledge-based fault diagnosis. Among them, model-based fault diagnosis requires evaluation of design parameters and working conditions to accurately model the system. For complex rotating mechanical equipment, this diagnosis method is uneconomical; fault diagnosis based on signal processing requires analysis and processing of system acquisition signals. Because model-based fault diagnosis is more economical and has certain reliability, but in some specific environments, there are some uncertain information that will have a certain impact on fault information, so the problem of feature extraction and fault judgment need to be further solved; based on Knowledge-based fault diagnosis Since historical fault knowledge, it is not entirely possible to have high reliability like human experts. At the same time, in today's big data era, in the actual application of engineering, the existing intelligent fault diagnosis technology has problems such as speed to be improved, accuracy rate is low, and high-precision classification cannot be achieved, which need to be studied and solved.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于克服现有技术的不足,提供一种基于云遗传算法优化支持向量机的旋转机械故障诊断方法,将采集得到的旋转机械工作信号进行时频分析处理,通过云遗传算法优化的基于支持向量机的多分类模型实现对旋转机械故障的诊断,可以有效提高旋转机械故障诊断的准确度和效率。The purpose of the present invention is to overcome the deficiencies of the prior art, to provide a method for fault diagnosis of rotating machinery based on cloud genetic algorithm optimization support vector machine, to perform time-frequency analysis and processing on the collected rotating machinery working signals, and to optimize the method through cloud genetic algorithm The multi-classification model based on support vector machine realizes the diagnosis of rotating machinery faults, which can effectively improve the accuracy and efficiency of rotating machinery fault diagnosis.
为实现上述发明目的,本发明基于云遗传算法优化支持向量机的旋转机械故障诊断方法包括以下步骤:In order to achieve the above-mentioned purpose of the invention, the present invention is based on the cloud genetic algorithm optimization support vector machine fault diagnosis method for rotating machinery comprising the following steps:
S1:分别在旋转机械的R种故障状态下从不同传感器的工作信号中随机截取若干长度为M的工作信号Ls,n(m),其中s=1,2,…,S,S表示传感器数量,n=1,2,…,Ns,Ns表示来自第s个传感器的工作信号数量,m=0,1,…,M-1,并且M>T,T表示工作信号的周期;记每段工作信号Ls,n(m)对应的标签为Ys,n,标签Ys,n用于标识工作信号对应的旋转机械的故障状态,Ys,n=1,…,R;S1: Randomly intercept a number of working signals L s,n (m) of length M from the working signals of different sensors in the R fault states of the rotating machinery, where s=1,2,...,S, S represents the sensor Quantity, n=1,2,...,N s , N s represents the number of working signals from the sth sensor, m=0,1,...,M-1, and M>T, T represents the period of the working signal; Note that the label corresponding to each segment of the working signal L s,n (m) is Y s,n , and the label Y s,n is used to identify the fault state of the rotating machine corresponding to the working signal, Y s,n =1,...,R;
对于每种故障状态的每段工作信号进行时频分析处理以提取其时域特征、频域特征和时频域特征,每种特征的数量根据实际需要确定,将这些特征作为初始特征,然后对于不同传感器的工作信号的初始特征进行约简,记第s个传感器初始特征约简得到的特征数量为Ds,最终共计得到K个特征,其中记各个工作信号Ls,n(m)对应的特征向量Xs,n=(Xs,n(1),Xs,n(2),…,Xs,n(Ds)),其中Xs,n(d)表示工作信号Ls,n(m)中第d个特征的值,d=1,2,…,Ds;将每个传感器的工作信号特征向量按照故障状态标签进行分类,得到第s个传感器的工作信号在第r种故障状态下的特征向量集合φs,r,r=1,2,…,R。Time-frequency analysis is performed on each working signal in each fault state to extract its time domain features, frequency domain features and time-frequency domain features. The number of each feature is determined according to actual needs, and these features are used as initial features, The initial features of the working signals of different sensors are reduced, and the number of features obtained by reducing the initial features of the sth sensor is D s , and finally a total of K features are obtained, of which Write down the eigenvector X s,n corresponding to each working signal L s,n (m) =(X s,n (1),X s,n (2),…,X s,n (D s )), where X s,n (d) represents the value of the dth feature in the working signal L s,n (m), d=1,2,...,D s ; the working signal feature vector of each sensor is carried out according to the fault state label Classify, and obtain the eigenvector set φ s,r of the working signal of the sth sensor in the rth fault state, r=1,2,...,R.
S2:对于每个故障状态,分别按照以下方法获取该故障状态的训练样本:对于第r种故障状态,从对应的S个特征向量集合φs,r中分别随机选取一个特征向量X′s,r,然后按照传感器序号组合得到一个组合特征向量Z=(X′1,r,X′2,r,…,X′S,r)=(z1,z2,…,zK),zk表示组合特征向量Z的第k个元素,k=1,2,…,K,组合特征向量Z对应的故障状态标签为r,即构成一个训练样本;重复以上过程,对每种故障状态分别获取若干个训练样本;S2: For each fault state, obtain the training samples of the fault state according to the following method: for the rth fault state, randomly select a feature vector X′ s from the corresponding S feature vector set φ s,r , r , and then get a combined feature vector Z=(X′ 1,r ,X′ 2,r ,…,X′ S,r )=(z 1 ,z 2 ,…,z K ), z k represents the kth element of the combined feature vector Z, k=1,2,...,K, the fault state label corresponding to the combined feature vector Z is r, which constitutes a training sample; repeat the above process, for each fault state Obtain several training samples;
将所有训练样本分为两部分,一部分作为训练样本集A,另一部分作为训练样本集B,每个训练样本集中的训练样本均包含所有故障状态;All training samples are divided into two parts, one part is used as training sample set A, and the other part is used as training sample set B, and the training samples in each training sample set include all fault states;
S3:构建基于支持向量机网络的多分类模型,其输入为组合特征向量,输出为故障状态标签;S3: Construct a multi-classification model based on the support vector machine network, whose input is the combined feature vector, and the output is the fault status label;
S4:将训练样本集A作为训练样本,采用云遗传算法对基于支持向量机网络的多分类模型的核函数和惩罚因子进行参数预优化处理;S4: Using the training sample set A as the training sample, the cloud genetic algorithm is used to pre-optimize the parameters of the kernel function and penalty factor of the multi-classification model based on the support vector machine network;
S5:将步骤S4参数预优化得到的核函数和惩罚因子作为基于支持向量机网络的多分类模型的核函数和惩罚因子的初始值,将训练样本集B作为训练样本,采用云遗传算法对基于支持向量机网络的多分类模型的核函数和惩罚因子进行参数优化处理,得到最终的多分类模型;S5: The kernel function and penalty factor obtained by pre-optimizing the parameters in step S4 are used as the initial values of the kernel function and penalty factor of the multi-classification model based on the support vector machine network, and the training sample set B is used as the training sample. The kernel function and penalty factor of the multi-classification model of the support vector machine network are optimized to obtain the final multi-classification model;
S6:当旋转机械发生故障时,采用S个传感器采集得到S个长度为M的工作信号从中提取出步骤S1中约简得到的K个特征组成组合特征向量将其输入至步骤S5训练好的多分类模型中,得到诊断结果。S6: When the rotating machinery fails, use S sensors to collect and obtain S working signals with a length of M Extract the K features obtained from the reduction in step S1 Compose the combined eigenvectors Input it into the multi-classification model trained in step S5 to obtain the diagnosis result.
本发明基于云遗传算法优化支持向量机的旋转机械故障诊断方法,首先在在旋转机械的各个故障状态下从不同传感器提取工作信号,分别进行时频特征提取并约简,得到各个工作信号的特征向量,基于这些特征向量获取每个故障状态的训练样本,分为训练样本集A和训练样本集B,先将训练样本集A作为训练样本,采用云遗传算法对基于支持向量机网络的多分类模型的核函数和惩罚因子进行参数预优化处理,然后再采用训练样本集B进行再次优化从而得到多分类模型,当旋转机械发生故障时从各个传感器提取出特征向量,输入多分类模型得到诊断结果。The present invention optimizes the rotating machinery fault diagnosis method based on the cloud genetic algorithm support vector machine. Firstly, in each fault state of the rotating machinery, the working signals are extracted from different sensors, and the time-frequency features are extracted and reduced respectively to obtain the characteristics of each working signal. Based on these eigenvectors, the training samples of each fault state are obtained, which are divided into training sample set A and training sample set B. First, the training sample set A is used as the training sample, and the multi-classification based on the support vector machine network is performed by cloud genetic algorithm. The kernel function and penalty factor of the model are pre-optimized for parameters, and then the training sample set B is used to optimize again to obtain a multi-classification model. When the rotating machinery fails, the feature vector is extracted from each sensor, and the multi-classification model is input to obtain the diagnosis result. .
本发明具有以下有益效果:The present invention has the following beneficial effects:
1)本发明对原始工作信号进行了全面的时频特征提取,避免信号的特征不完善性,同时对冗余特征、无效特征进行筛选,以获得与故障状态确切相关联的特征信息;1) The present invention has carried out comprehensive time-frequency feature extraction to the original working signal, avoids the feature imperfection of the signal, and screens redundant features and invalid features at the same time, so as to obtain feature information exactly associated with the fault state;
2)本发明针对遗传算法进行改进,采用云遗传算法先后对基于支持向量机网络的多分类模型的参数进行预优化以及优化处理,有效减少了多余的搜索,使得种群进化朝着最优的方向进行,即减少了诊断运行的时间,又提升了网络诊断的准确性;2) The present invention improves the genetic algorithm, adopts the cloud genetic algorithm to pre-optimize and optimize the parameters of the multi-classification model based on the support vector machine network, effectively reduces redundant searches, and makes the population evolution towards the optimal direction This reduces the running time of diagnosis and improves the accuracy of network diagnosis;
3)本发明提出的基于支持向量机网络的多分类模型具有结构简单、参数量少的优点,对硬件资源的要求低,经济要求低,具有一定的泛化能力,并且经实验证明本发明可以有效提高旋转机械的故障诊断准确率。3) The multi-classification model based on the support vector machine network proposed by the present invention has the advantages of simple structure and few parameters, low requirements on hardware resources, low economic requirements, and certain generalization ability, and it is proved by experiments that the present invention can Effectively improve the accuracy of fault diagnosis of rotating machinery.
附图说明Description of drawings
图1是本发明基于云遗传算法优化支持向量机的故障诊断方法的具体实施方式流程图;Fig. 1 is the specific embodiment flowchart of the fault diagnosis method based on cloud genetic algorithm optimization support vector machine of the present invention;
图2是本发明中采用云遗传算法对基于支持向量机网络的多分类模型进行参数优化的流程图;Fig. 2 is the flow chart that adopts cloud genetic algorithm to carry out parameter optimization to the multiclassification model based on support vector machine network among the present invention;
图3是本实施例中本发明与对比方法对于美国凯斯西储大学数据的故障诊断准确率统计图;Fig. 3 is that the present invention and comparative method in the present embodiment are for the fault diagnosis accuracy statistical figure of U.S. Case Western Reserve University data;
图4是本实施例中本发明与对比方法对于美国凯斯西储大学数据的故障诊断耗时对比图;Fig. 4 is the time-consuming comparison chart of fault diagnosis of U.S. Case Western Reserve University data between the present invention and the comparative method in the present embodiment;
图5是本实施例中本发明与对比方法对于自主实验平台数据的故障诊断准确率统计图;Fig. 5 is the statistical diagram of the accuracy rate of fault diagnosis of the autonomous experiment platform data between the present invention and the comparison method in the present embodiment;
图6是本实施例中本发明与对比方法对于自主实验平台数据的故障诊断耗时对比图。Fig. 6 is a time-consuming comparison chart of the fault diagnosis of the autonomous experiment platform data between the present invention and the comparison method in this embodiment.
具体实施方式Detailed ways
下面结合附图对本发明的具体实施方式进行描述,以便本领域的技术人员更好地理解本发明。需要特别提醒注意的是,在以下的描述中,当已知功能和设计的详细描述也许会淡化本发明的主要内容时,这些描述在这里将被忽略。Specific embodiments of the present invention will be described below in conjunction with the accompanying drawings, so that those skilled in the art can better understand the present invention. It should be noted that in the following description, when detailed descriptions of known functions and designs may dilute the main content of the present invention, these descriptions will be omitted here.
图1是本发明基于云遗传算法优化支持向量机的旋转机械故障诊断方法的具体实施方式流程图。如图1所示,本发明基于云遗传算法优化支持向量机的旋转机械故障诊断方法的具体步骤包括:FIG. 1 is a flow chart of a specific embodiment of the method for diagnosing a rotating machinery fault based on cloud genetic algorithm optimization support vector machine of the present invention. As shown in Figure 1, the specific steps of the rotating machinery fault diagnosis method based on cloud genetic algorithm optimization support vector machine of the present invention include:
S101:工作信号数据处理:S101: Working signal data processing:
分别在旋转机械的R种故障状态下从不同传感器的工作信号中随机截取若干长度为M的工作信号Ls,n(m),其中s=1,2,…,S,S表示传感器数量,n=1,2,…,Ns,Ns表示来自第s个传感器的工作信号数量,m=0,1,…,M-1,并且M>T,T表示工作信号的周期;记每段工作信号Ls,n(m)对应的标签为Ys,n,标签Ys,n用于标识工作信号对应的旋转机械的故障状态,Ys,n=1,…,R。Randomly intercept a number of working signals L s,n (m) of length M from the working signals of different sensors in the R fault states of the rotating machinery, where s=1,2,...,S, S represents the number of sensors, n=1,2,...,N s , N s represents the number of working signals from the sth sensor, m=0,1,...,M-1, and M>T, T represents the period of the working signal; The label corresponding to the segment working signal L s,n (m) is Y s,n , and the label Y s,n is used to identify the fault state of the rotating machine corresponding to the working signal, Y s,n =1,...,R.
对于每种故障状态的每段工作信号进行时频分析处理以提取其时域特征、频域特征和时频域特征,每种特征的数量根据实际需要确定,将这些特征作为初始特征,然后对于不同传感器的工作信号的初始特征进行约简,记第s个传感器初始特征约简得到的特征数量为Ds,最终共计得到K个特征,其中记各个工作信号Ls,n(m)对应的特征向量Xs,n=(Xs,n(1),Xs,n(2),…,Xs,n(Ds)),其中Xs,n(d)表示工作信号Ls,n(m)中第d个特征的值,d=1,2,…,Ds。将每个传感器的工作信号特征向量按照故障状态标签进行分类,得到第s个传感器的工作信号在第r种故障状态下的特征向量集合φs,r,r=1,2,…,R。Time-frequency analysis is performed on each working signal in each fault state to extract its time domain features, frequency domain features and time-frequency domain features. The number of each feature is determined according to actual needs, and these features are used as initial features, The initial features of the working signals of different sensors are reduced, and the number of features obtained by reducing the initial features of the sth sensor is D s , and finally a total of K features are obtained, of which Write down the eigenvector X s,n corresponding to each working signal L s,n (m) =(X s,n (1),X s,n (2),…,X s,n (D s )), where X s,n (d) represents the value of the dth feature in the working signal L s,n (m), d=1,2,...,D s . Classify the working signal eigenvectors of each sensor according to the fault state label, and obtain the eigenvector set φ s,r of the working signal of the sth sensor in the rth fault state, r=1,2,...,R.
S102:获取训练样本:S102: Obtain training samples:
对于每个故障状态,分别按照以下方法获取该故障状态的训练样本:对于第r种故障状态,从对应的S个特征向量集合φs,r中分别随机选取一个特征向量X′s,r,然后按照传感器序号组合得到一个组合特征向量Z=(X′1,r,X′2,r,…,X′S,r)=(z1,z2,…,zK),zk表示组合特征向量Z的第k个元素,k=1,2,…,K,组合特征向量Z对应的故障状态标签为r,即构成一个训练样本。重复以上过程,对每种故障状态分别获取若干个训练样本。For each fault state, the training samples of the fault state are obtained according to the following method: for the rth fault state, a eigenvector X′ s,r is randomly selected from the corresponding S eigenvector set φ s,r , respectively, Then according to the combination of the sensor numbers, a combination feature vector Z=(X′ 1,r ,X′ 2,r ,…,X′ S,r )=(z 1 ,z2 , …,z K ), z k represents the combination The kth element of the feature vector Z, k=1, 2, ..., K, the fault state label corresponding to the combined feature vector Z is r, which constitutes a training sample. Repeat the above process to obtain several training samples for each fault state.
将所有训练样本分为两部分,一部分作为训练样本集A,另一部分作为训练样本集B,每个训练样本集中的训练样本均包含所有故障状态。本发明构建两个训练样本集是便于后续参数优化工作,在划分训练样本集时可以随机划分,但是由于本发明中分类模型采用基于支持向量机网络的分类模型,而在支持向量机网络中,边界向量对于支持向量机网络的训练非常重要,因此尽量将边界附近的向量放置在训练样本集A中。为了提高后续参数优化的效率,本实施例中提出了一种训练样本集划分方法:Divide all training samples into two parts, one part is training sample set A, and the other part is training sample set B, and the training samples in each training sample set contain all fault states. The present invention constructs two training sample sets to be convenient to follow-up parameter optimization work, can divide randomly when dividing training sample set, but because classification model in the present invention adopts the classification model based on support vector machine network, and in support vector machine network, The boundary vector is very important for the training of the support vector machine network, so try to place the vector near the boundary in the training sample set A. In order to improve the efficiency of subsequent parameter optimization, a training sample set division method is proposed in this embodiment:
对于每个故障状态,计算其所有训练样本的平均向量,然后计算每个训练样本与该平均向量的距离,将训练样本按照距离从大到小进行排序,选择前Q个训练样本加入训练样本集A,其中Q的值根据实际需要确定,其余训练样本加入训练样本集B。For each fault state, calculate the average vector of all its training samples, then calculate the distance between each training sample and the average vector, sort the training samples according to the distance from large to small, and select the first Q training samples to join the training sample set A, where the value of Q is determined according to actual needs, and the rest of the training samples are added to the training sample set B.
S103:构建多分类模型:S103: Build a multi-classification model:
构建基于支持向量机网络的多分类模型,其输入为组合特征向量,输出为故障状态标签。A multi-classification model based on a support vector machine network is constructed, whose input is a combined feature vector and the output is a fault state label.
本发明中旋转机械的故障类型有R种,与旋转机械故障状态相关的特征参数有K个,构建基于支持向量机网络的多分类模型对旋转机械的多种故障特征进行分类识别。本实施例中采用RBF核函数,选择一对一的方法构造多分类模型,其中输入层节点数为K、输出层节点数为R。In the present invention, there are R kinds of fault types of the rotating machinery, and there are K characteristic parameters related to the fault state of the rotating machinery, and a multi-classification model based on a support vector machine network is constructed to classify and identify various fault characteristics of the rotating machinery. In this embodiment, the RBF kernel function is adopted, and a one-to-one method is selected to construct a multi-classification model, wherein the number of nodes in the input layer is K, and the number of nodes in the output layer is R.
S104:多分类模型参数预优化:S104: Pre-optimization of multi-classification model parameters:
将训练样本集A作为训练样本,采用云遗传算法对基于支持向量机网络的多分类模型的核函数和惩罚因子进行参数预优化处理。Taking the training sample set A as the training sample, the cloud genetic algorithm is used to pre-optimize the parameters of the kernel function and penalty factor of the multi-classification model based on the support vector machine network.
云遗传算法具有遗传算法的优点,同时对遗传算法进行了改进,使整体进化速度更快,提高了收敛速度,减少了不必要的搜索。图2是本发明中采用云遗传算法对基于支持向量机网络的多分类模型进行参数优化的流程图。如图2所示,本发明中采用云遗传算法对基于支持向量机网络的多分类模型进行参数优化的具体步骤包括:The Cloud Genetic Algorithm has the advantages of the Genetic Algorithm, and at the same time, the Genetic Algorithm has been improved to make the overall evolution faster, improve the convergence speed, and reduce unnecessary searches. Fig. 2 is a flow chart of parameter optimization of multi-classification model based on support vector machine network using cloud genetic algorithm in the present invention. As shown in Figure 2, in the present invention, adopting cloud genetic algorithm to carry out the concrete steps of parameter optimization to the multi-classification model based on support vector machine network comprises:
S201:实数编码:S201: Real number encoding:
对基于支持向量机网络的多分类模型的核函数和惩罚因子进行实数编码。传统的遗传算法是二进制编码。随着问题复杂度的增加和精度的提高,简单遗传算法的编码长度也会增加,占用了大量的内存,大大降低了算法的性能。本发明采用实数编码的方式,提高算法性能。Real-number encoding of the kernel function and penalty factor of the multi-classification model based on the support vector machine network. Traditional genetic algorithms are binary coded. As the complexity of the problem increases and the accuracy improves, the coding length of the simple genetic algorithm will also increase, occupying a large amount of memory and greatly reducing the performance of the algorithm. The present invention adopts the way of real number coding to improve the algorithm performance.
S202:初始化种群:S202: Initialize the population:
将核函数和惩罚因子的实数编码作为云遗传算法种群中的个体,初始化种群,种群大小记为Q。The kernel function and the real code of the penalty factor are used as individuals in the cloud genetic algorithm population, and the population is initialized, and the population size is recorded as Q.
S203:计算个体适应度:S203: Calculate individual fitness:
对于种群中的每个个体,采用其对应的核函数和惩罚因子对基于支持向量机网络的多分类模型进行设置,采用训练样本对该多分类模型进行交叉验证,将得到的分类精度作为个体适应度,显然,分类精度越大,个体越优。For each individual in the population, use its corresponding kernel function and penalty factor to set the multi-classification model based on the support vector machine network, use the training samples to cross-validate the multi-classification model, and use the obtained classification accuracy as the individual adaptation Obviously, the greater the classification accuracy, the better the individual.
S204:判断是否满足终止迭代条件,如果满足,则进入步骤S205,否则进入步骤S206。对于旋转机械的故障诊断,终止迭代条件可以有两种,一是是否达到最大进化代数;二是故障诊断准确率在一定时间内是否无明显变化,在实际应用中根据需要选择即可。S204: Determine whether the termination iteration condition is satisfied, if so, go to step S205, otherwise go to step S206. For the fault diagnosis of rotating machinery, there are two conditions for terminating iterations, one is whether the maximum evolution algebra is reached; the other is whether the accuracy of fault diagnosis does not change significantly within a certain period of time, which can be selected according to the needs in practical applications.
S205:得到参数优化结果:S205: Get the parameter optimization result:
从当前种群中选择最优个体,将其对应的核函数和惩罚因子作为参数优化结果。Select the optimal individual from the current population, and use its corresponding kernel function and penalty factor as the parameter optimization result.
S206:选择操作:S206: Select operation:
对种群中的个体进行选择。选择操作采用锦标赛选择机制完成,确保个体适应度值较大的个体保留下来进行下一步遗传操作,从而加速整个种群的进化。Select individuals in the population. The selection operation is completed using the tournament selection mechanism to ensure that individuals with higher individual fitness values are retained for the next step of genetic operations, thereby accelerating the evolution of the entire population.
S207:交叉操作:S207: Cross operation:
传统遗传算法是将种群中的个体随机配对,并以个体的交叉概率交换部分染色体。然而,这种方法使得遗传算法的进化方向未知且无法控制。云模型是一种不确定性模型,它可以基于传统的概率统计理论和模糊理论,在定性概念和定量值之间进行转换。它利用云期望、熵和超熵三个数值特征来表示定性概念的数值特征及其概念的不确定性。Y条件云发生器是在给定以上三个数值特性和给定确定度条件下的云发生器。为了减少不必要的搜索,加快进化速度,交叉操作采用Y条件云模型代替交叉概率。The traditional genetic algorithm is to randomly pair the individuals in the population, and exchange some chromosomes according to the crossover probability of the individual. However, this approach makes the evolutionary direction of the genetic algorithm unknown and uncontrollable. The cloud model is an uncertainty model, which can convert between qualitative concepts and quantitative values based on traditional probability and statistics theory and fuzzy theory. It uses three numerical characteristics of cloud expectation, entropy and hyperentropy to represent the numerical characteristics of qualitative concepts and their uncertainty. The Y-conditional cloud generator is a cloud generator under the condition of given the above three numerical characteristics and a given degree of certainty. In order to reduce unnecessary searches and speed up the evolution, the crossover operation uses the Y conditional cloud model instead of the crossover probability.
本发明中交叉操作的具体方法为:首先通过线性函数计算得到步骤S206中选择的每个父代个体的确定度μ;接着计算云模型的数字特征,包括云期望Ex、熵En和超熵He;再根据计算得到的确定度和云模型的三个数字特征执行Y条件云发生器得到一对后代,计算所得到的后代和步骤S206中选择的每个父代个体的个体适应度,选择较优的Q个个体。The specific method of the crossover operation in the present invention is: first, obtain the certainty μ of each parent individual selected in step S206 through linear function calculation; then calculate the digital characteristics of the cloud model, including cloud expectation Ex, entropy E n and super Entropy H e ; according to the calculated degree of certainty and three digital characteristics of the cloud model, execute the Y conditional cloud generator to obtain a pair of offspring, and calculate the individual fitness of the offspring obtained and each parent individual selected in step S206 , select better Q individuals.
确定度μ的计算公式如下:The calculation formula of the degree of certainty μ is as follows:
其中,Fmax和Fmin分别代表当代种群的全局“最大”和“最小”适应度值,F′是交叉两父个体适应度的较大者,μmax和μmin是人为指定的确定度的最大值和最小值。Among them, F max and F min represent the global "maximum" and "minimum" fitness values of the contemporary population respectively, F' is the greater of the fitness of the crossed two parents, μ max and μ min are the values of the artificially specified degree of certainty Maximum and minimum values.
云期望Ex、熵En和超熵He的计算公式如下:The calculation formulas of cloud expectation E x , entropy E n and hyper-entropy He e are as follows:
其中,Ex表示云期望,Ff和Fm分别表示父代两个体的适应度、Xf和Xm分别表示进行交叉操作的两个父代个体,En表示熵,xfmax表示当前种群最高适应度对应的个体、xfmin表示当前种群最低适应度对应的个体,He表示超熵,c1和c2是人为指定的常数参数。Among them, E x represents the cloud expectation, F f and F m represent the fitness of the two parents respectively, X f and X m represent the two parent individuals performing the crossover operation, E n represents the entropy, and x fmax represents the current population The individual corresponding to the highest fitness, x fmin represents the individual corresponding to the lowest fitness of the current population, He represents the hyper -entropy, and c 1 and c 2 are constant parameters specified by humans.
从云期望Ex的表达式可以看出,选择父代两个体的线性函数来表达期望Ex,这有利于下一代更接近个体适合度值更高的一方。熵En与搜索区域成正比,熵越大,云的覆盖范围就越大,从而个体在交叉操作中的搜索范围就越大。Y条件云发生器中,正态云是一种泛正态分布,根据正态分布的“3σ”的原理,结合进化算法的精度和速度,通常选择6≤c1≤3p(p为种群大小)。同时,随着超熵He的增大,稳定趋势会在一定程度上减小,但如果超熵He减小,则会失去随机性。综上所述,应该根据实际情况合理对参数进行取值。It can be seen from the expression of the cloud expectation Ex that choosing the linear function of the two parents to express the expectation Ex is beneficial for the next generation to be closer to the one with the higher individual fitness value. The entropy E n is proportional to the search area, the greater the entropy, the larger the coverage of the cloud, and thus the larger the search area of the individual in the crossover operation. In the Y conditional cloud generator, the normal cloud is a kind of pan-normal distribution. According to the "3σ" principle of the normal distribution, combined with the accuracy and speed of the evolutionary algorithm, usually choose 6≤c 1 ≤3p (p is the population size ). At the same time, as the hyperentropy He increases, the stable trend will decrease to some extent, but if the hyperentropy He decreases, randomness will be lost. To sum up, the parameters should be reasonably selected according to the actual situation.
S208:变异操作:S208: mutation operation:
对步骤S207得到的Q个个体进行变异操作,返回步骤S203。Perform mutation operation on the Q individuals obtained in step S207, and return to step S203.
S105:多分类模型参数再次优化:S105: Multi-classification model parameters are optimized again:
将步骤S3参数预优化得到的核函数和惩罚因子作为基于支持向量机网络的多分类模型的核函数和惩罚因子的初始值,将训练样本集B作为训练样本,采用云遗传算法对基于支持向量机网络的多分类模型的核函数和惩罚因子进行参数优化处理,得到最终的多分类模型。The kernel function and penalty factor obtained by pre-optimizing the parameters in step S3 are used as the initial values of the kernel function and penalty factor of the multi-classification model based on the support vector machine network, and the training sample set B is used as the training sample, and the cloud genetic algorithm is used to analyze the The kernel function and penalty factor of the multi-classification model of machine network are optimized to obtain the final multi-classification model.
S106:故障诊断:S106: Fault diagnosis:
当旋转机械发生故障时,采用S个传感器采集得到S个长度为M的工作信号从中提取出步骤S1中约简得到的K个特征组成组合特征向量将其输入至步骤S105训练好的多分类模型中,得到诊断结果。When the rotating machinery fails, use S sensors to collect and obtain S working signals with a length of M Extract the K features obtained from the reduction in step S1 Compose the combined eigenvectors Input it into the multi-classification model trained in step S105 to obtain the diagnosis result.
实施例Example
为了更好地说明本发明的技术方案和技术效果,采用一个具体实例对本发明的工作流程和技术效果进行分析说明。轴承故障是旋转机械中的一种典型故障,因此本实施例分别采用美国凯斯西储大学的轴承故障开放数据和自主搭建故障模拟平台采集的轴承故障数据进行实验测试。In order to better illustrate the technical scheme and technical effect of the present invention, a specific example is used to analyze and illustrate the working process and technical effect of the present invention. Bearing failure is a typical failure in rotating machinery. Therefore, in this embodiment, the open data of bearing failure of Case Western Reserve University in the United States and the bearing failure data collected by a self-built fault simulation platform are used for experimental testing.
对于美国凯斯西储大学轴承故障数据,选取6种故障类型分别为(1)滚动体轻微损伤(B1);(2)滚动体严重损伤(B2);(3)内圈轻微损伤(I1);(4)内圈严重损伤(I2);(5)外圈轻微损伤(O1);(6)外圈严重损伤(O2),对于每种故障类型分别选取来自驱动端加速度传感器,风扇端加速度传感器以及基座端加速度传感器采集得到的加速度振动信号。通过随机选取的方式,对每种故障类型选取共100组样本,每组数据包含1024个样本点。表1是本实施例中基于美国凯斯西储大学轴承故障数据构建的轴承故障信息表。For the bearing fault data of Case Western Reserve University in the United States, six types of faults were selected, namely (1) slight damage to the rolling element (B1); (2) severe damage to the rolling element (B2); (3) slight damage to the inner ring (I1) ;(4) Serious damage to the inner ring (I2); (5) Slight damage to the outer ring (O1); (6) Serious damage to the outer ring (O2). The acceleration vibration signal collected by the sensor and the acceleration sensor at the base end. Through random selection, a total of 100 sets of samples are selected for each fault type, and each set of data contains 1024 sample points. Table 1 is the bearing fault information table constructed based on the bearing fault data of Case Western Reserve University in the present embodiment.
表1Table 1
对于自主搭建故障模拟平台分别设置5种故障类型:(1)内圈轻微损伤(I1);(2)内圈中度损伤(I2);(3)内圈严重损伤(I3);(4)外圈中度损伤(O2);(5)外圈轻微损伤(O1)。对于每种故障类型随机选取分别位于轴承座的垂直方向和水平方向的两个加速度传感器HD-YD-221采集得到加速度振动信号(A0、A1)以及型号为WT0180,用于测量轴的垂直和水平方向的电压信息的3个位移传感器(V0-V2)各200组,每组包含1024个样本点。表2是本实施例中基于自主搭建故障模拟平台采集构建的轴承故障数据库。For the self-built fault simulation platform, five types of faults are set: (1) slight damage to the inner ring (I1); (2) moderate damage to the inner ring (I2); (3) severe damage to the inner ring (I3); (4) Moderate damage to the outer ring (O2); (5) slight damage to the outer ring (O1). For each fault type, two acceleration sensors HD-YD-221 located in the vertical direction and horizontal direction of the bearing housing are randomly selected to collect acceleration vibration signals (A0, A1) and the model is WT0180, which is used to measure the vertical and horizontal of the shaft There are 200 groups of 3 displacement sensors (V0-V2) for the direction voltage information, and each group contains 1024 sample points. Table 2 is the bearing fault database collected and constructed based on the self-built fault simulation platform in this embodiment.
表2Table 2
本实施例中对于每段工作信号进行时频分析处理。本实施例中工作信号的时域特征分别为:均方根值、方根幅值、绝对均方幅值、峭度因子、波形因子、峰度、偏斜度、脉冲因子、峰值、裕度系数,频域特征分别为:均方频率,重心频率,频率方差,然后采用小波包分析方法对工作信号进行时频特性分析,计算得到E1~E8共8个时频域参数,作为时频域特征,其中E1~E8是小波分析后对信号的能量进行重构以及归一化以后的一种时频域特征参数。从而对每个工作信号可以得到11个时域特征、3个频域特征以及8个时频域特征,共计得到22个特征。以上特征是时频分析中经常使用到的特征,其具体计算公式在此不再赘述。In this embodiment, time-frequency analysis and processing are performed on each segment of the working signal. The time-domain characteristics of the working signal in this embodiment are: root mean square value, root square amplitude, absolute mean square amplitude, kurtosis factor, form factor, kurtosis, skewness, pulse factor, peak value, margin The coefficients and frequency domain characteristics are: mean square frequency, center of gravity frequency, and frequency variance. Then, the wavelet packet analysis method is used to analyze the time-frequency characteristics of the working signal, and a total of 8 time-frequency domain parameters from E1 to E8 are calculated, which are used as time-frequency domain parameters. Features, where E1-E8 is a time-frequency domain characteristic parameter after the energy of the signal is reconstructed and normalized after the wavelet analysis. Therefore, 11 time-domain features, 3 frequency-domain features, and 8 time-frequency domain features can be obtained for each working signal, and a total of 22 features can be obtained. The above features are often used in time-frequency analysis, and their specific calculation formulas will not be repeated here.
由于本发明针对的是具有多传感器,即多源工作信号的旋转机械,需要对每个传感器的工作信号分别提取特征,因此共计有S×22个特征。对于美国凯斯西储大学的数据,有3个传感器,一共得到3*22=66个特征,然后对其进行特征约简,本实施例中采用粗糙集理论进行特征约简。表3是美国凯斯西储大学数据经过粗糙集理论特征约简后的特征统计表。Since the present invention is aimed at a rotating machine with multi-sensors, that is, multi-source working signals, features need to be extracted from the working signals of each sensor, so there are a total of S×22 features. For the data of Case Western Reserve University in the United States, there are 3 sensors, and a total of 3*22=66 features are obtained, and then feature reduction is performed on them. In this embodiment, rough set theory is used to perform feature reduction. Table 3 is the characteristic statistical table of the data of Case Western Reserve University in the United States after rough set theory characteristic reduction.
表3table 3
对于自主搭建故障平台的数据,有5个传感器,一共得到5*22=110个时频特征。表4是自主搭建故障平台数据经过粗糙集理论特征约简后的特征统计表。For the data of the self-built fault platform, there are 5 sensors, and a total of 5*22=110 time-frequency features are obtained. Table 4 is the feature statistics table of the self-built fault platform data after rough set theory feature reduction.
表4Table 4
将得到的两部分轴承故障数据的时频特征分为训练样本集和测试样本集。对于美国凯斯西储大学数据,选取80组数据作为训练样本集,在其中随机选取10组数据作为训练样本集A对多分类模型进行参数预优化,剩余70组数据作为训练样本集B多分类模型进行参数再次优化,另外选取20组数据作为测试样本集。因为选取了滚动轴承的6种故障状态,筛选出与滚动轴承故障状态相关的32个特征参数,为滚动轴承故障状态的诊断提供参考。所以基于支持向量机网络的多分类模型的输入层节点数为32,输出层节点数为6。The time-frequency characteristics of the obtained two parts of bearing fault data are divided into training sample set and test sample set. For the data of Case Western Reserve University in the United States, 80 sets of data are selected as the training sample set, and 10 sets of data are randomly selected as the training sample set A to pre-optimize the parameters of the multi-classification model, and the remaining 70 sets of data are used as the training sample set B for multi-classification The parameters of the model are optimized again, and another 20 sets of data are selected as the test sample set. Because 6 kinds of fault states of rolling bearings are selected, 32 characteristic parameters related to the fault states of rolling bearings are screened out to provide reference for the diagnosis of rolling bearing fault states. Therefore, the multi-classification model based on the support vector machine network has 32 input layer nodes and 6 output layer nodes.
对于自主搭建的实验平台数据,选取180组数据作为训练样本集,随机选取18组数据作为训练样本集A对多分类模型进行参数预优化,剩余162组数据作为训练样本集B多分类模型进行参数再次优化,另外选择20组数据作为测试集。由于获取了5种故障状态,筛选出与滚动轴承故障状态相关的69个特征参数,为滚动轴承故障状态的诊断提供参考。所以基于支持向量机网络的多分类模型的输入层节点数为69,输出层节点数为5。其中,训练样本集用于多分类模型的训练,测试样本集用于对多分类模型进行测试,以统计分类准确率。表5是本实施例中云遗传算法中的参数设置。For the self-built experimental platform data, 180 sets of data were selected as the training sample set, 18 sets of data were randomly selected as the training sample set A to pre-optimize the parameters of the multi-classification model, and the remaining 162 sets of data were used as the training sample set B to perform parameters for the multi-classification model Optimize again, and select another 20 sets of data as the test set. Since 5 kinds of fault states were obtained, 69 characteristic parameters related to the fault state of rolling bearings were screened out to provide reference for the diagnosis of fault states of rolling bearings. Therefore, the number of input layer nodes of the multi-classification model based on support vector machine network is 69, and the number of output layer nodes is 5. Among them, the training sample set is used for training the multi-classification model, and the test sample set is used for testing the multi-classification model to count the classification accuracy. Table 5 is the parameter setting in the cloud genetic algorithm in this embodiment.
表5table 5
为了更好地说明本发明的技术效果,采用传统的遗传算法优化的基于支持向量机网络的多分类模型作为对比方法,和本发明的基于云遗传算法优化的基于支持向量机网络的多分类模型一起进行多次实验,统计故障诊断准确率以及故障诊断运行时长。表6是本实施例中本发明与对比方法分别对于美国凯斯西储大学数据和对于自主实验平台数据的故障诊断结果统计表。In order to better illustrate the technical effects of the present invention, the multi-classification model based on the support vector machine network optimized by the traditional genetic algorithm is used as a comparison method, and the multi-classification model based on the support vector machine network optimized by the cloud genetic algorithm of the present invention Conduct multiple experiments together to count the accuracy of fault diagnosis and the running time of fault diagnosis. Table 6 is a statistical table of the fault diagnosis results of the present invention and the comparative method for the data of Case Western Reserve University in the United States and the data of the independent experiment platform in this embodiment.
表6Table 6
图3是本实施例中本发明与对比方法对于美国凯斯西储大学数据的故障诊断准确率统计图。图4是本实施例中本发明与对比方法对于美国凯斯西储大学数据的故障诊断耗时对比图。图5是本实施例中本发明与对比方法对于自主实验平台数据的故障诊断准确率统计图。图6是本实施例中本发明与对比方法对于自主实验平台数据的故障诊断耗时对比图。Fig. 3 is a statistical diagram of the fault diagnosis accuracy rate of the present invention and the comparative method for the data of Case Western Reserve University in the United States in this embodiment. Fig. 4 is a time-consuming comparison chart of fault diagnosis of data from Case Western Reserve University in the United States between the present invention and the comparative method in this embodiment. Fig. 5 is a statistical diagram of the fault diagnosis accuracy rate of the present invention and the comparative method for the autonomous experiment platform data in this embodiment. Fig. 6 is a time-consuming comparison chart of the fault diagnosis of the autonomous experiment platform data between the present invention and the comparison method in this embodiment.
从表6、图3至图6中可以看出,对于两种故障数据,本发明表现出更高的准确率,同时在多次实验中准确率具有一定的稳定性。与美国凯斯西储大学数据相比,自主实验平台的样本数量更大,在大数据大样本的条件下,本发明采用云遗传算法优化基于支持向量机网络的多分类模型具有更快速的诊断性能并具有一定的泛化能力,由此可以表明,本发明提出的多分类模型能够在更短的时间内取得较高的诊断率,在旋转机械故障诊断领域切实有效。It can be seen from Table 6 and Fig. 3 to Fig. 6 that for the two kinds of fault data, the present invention shows a higher accuracy rate, and at the same time, the accuracy rate has a certain stability in multiple experiments. Compared with the data of Case Western Reserve University in the United States, the number of samples of the independent experiment platform is larger. Under the condition of large data and large samples, the present invention adopts cloud genetic algorithm to optimize the multi-classification model based on support vector machine network to have faster diagnosis performance and has a certain generalization ability, which shows that the multi-classification model proposed by the present invention can achieve a higher diagnosis rate in a shorter time, and is effective in the field of fault diagnosis of rotating machinery.
尽管上面对本发明说明性的具体实施方式进行了描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。Although the illustrative specific embodiments of the present invention have been described above, so that those skilled in the art can understand the present invention, it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, As long as various changes are within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.
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